If Samah bought two apples n she ate one apple. After that she again took two apples and then she ate two apples. Then again she took some apples from the fridge that is equal to the double of the remaining apple. How many oranges are there?​

[10 points, algebra 2]according to my answer key the restrictions are -1 and 4. but why not positive 1?

What are the coordinates of a vertex of the hyperbola?

Arandom sample of 15 observations is used to estimate the population mean. the sample mean and the standard deviation are calculated as 172 and 63, respectively. assume that the population is normally distributed. a. with 99 confidence, what is the margin of error for the estimation of the population mean? b. construct the 99% confidence interval for the population mean. c. construct the 95% confidence interval for the population mean. d. construct the 83% confidence interval for the population mean. hint: you need to use excel function =t.inv.2t to find the value of t for the interval calculation.